Question: How Many Sides Does A Regular Polygon Have With An Interior Angle Of 177 Degrees?

How many sides does a polygon have with an interior angle of 165?

24Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon..

What is the sum of the interior angles of a 25 sided polygon?

The sum of any pentacontagon’s interior angles is 8640 degrees. A regular pentacontagon is represented by Schläfli symbol {50} and can be constructed as a quasiregular truncated icosipentagon, t{25}, which alternates two types of edges.

Can a regular polygon have interior angles of 130?

The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.

How many sides does a regular polygon have with an interior angle of 174 degrees?

60 sidesThe polygon has 60 sides.

How many sides does a polygon have with an interior angle of 176?

90 sidesThe regular polygon that has interior angles equal to 176∘ is made up of 90 sides or an enneacontagon.

What is a 70 sided shape called?

heptacontagonIn geometry, a heptacontagon (or hebdomecontagon from Ancient Greek ἑβδομήκοντα, seventy) or 70-gon is a seventy-sided polygon. The sum of any heptacontagon’s interior angles is 12240 degrees.

What is the sum of the interior angles in a 15 sided polygon?

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees.

How many sides does a shape with an interior angle of 175 have?

72 sidesA regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides.

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

What is the sum of the interior angles of a 17 sided polygon?

The sum of the interior angles of a 17-sided convex polygon is 2700°, and the sum of the exterior angles is 360°.

How many sides does a polygon with an interior angle of 160 have?

18 sidesAnswer. If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

How many sides does a polygon have with an interior angle of 140?

9 sidesMethod 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

How many sides does a regular polygon have with an interior angle of 170 degrees?

36 sidesAnswer and Explanation: The polygon that has an interior angle that is 170∘ has 36 sides.

What is the sum of the interior angles of a 36 sided polygon?

The sum of any icosagon’s interior angles is 3240 degrees.

What is the interior angle of a 100 sided polygon?

17640 degreesIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

How many sides does a polygon have with an interior angle of 108?

The interior angle of a regular polygon is 108 degrees. So, the exterior angle will be 180-108=72. So, the number of sides of the polygon is 360/72=5. Required polygon is a pentagon.

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

What is the sum of the interior angles of a 19 sided polygon?

Regular PolygonsSidesNameInterior Angles18Octdecagon160.00°19Enneadecagon161.05°20Icosagon162.00°30Triacontagon168.00°25 more rows

What polygon has an interior angle of 177 degrees?

120-gonRegular 120-gonCoxeter diagramSymmetry groupDihedral (D120), order 2×120Internal angle (degrees)177°Dual polygonSelf5 more rows

How many sides does a polygon have if each interior angle is 120?

6 sidesIf in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.

How many sides does a regular polygon have with an interior angle of 178 degrees?

48 sidesHow many sides would a regular polygon have with an interior angle of 178 degrees? If all the interior angles add up to eight280 degrees subsequently the polygon will ‘ve got 48 sides .